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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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  2. /Prelims Questions
Q.4249·Miscellaneous·2021·Easy

If the lines y + px = 1 and y – qx = 2 are perpendicular, then which one of the following is correct?

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Q.4250·Miscellaneous·2021·Easy

If A, B and C are in AP, then the straight line Ax + 2By + C = 0 will always pass through a fixed point. The fixed point is

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Q.4251·Miscellaneous·2021·Easy

If the image of the point (–4, 2) by a line mirror is (4, –2), then what is the equation of the line mirror?

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Q.4252·Miscellaneous·2021·Easy

Consider the following statements in respect of the points (p, p – 3), (q + 3, q) and (6, 3): 1. The points lie on a straight line. 2. The points always lie in the first quadrant only for any value of p and q. Which of the above statements is/are correct?

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Q.4253·Miscellaneous·2021·Easy

Their are some idioms/phrases followed by four alternative meanings to each. Choose the response (a), (b), (c) or (d), whichever is the most appropriate expression and mark your response in your Answer Sheet accordingly. Palsy-walsy friends

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Q.4254·Miscellaneous·2021·Easy

Consider the following with regard to eccentricity (e) of a conic section: 1.e = 0 for circle 2.e = 1 for parabola 3.e < 1 for ellipse Which of the above are correct?

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Q.4255·Miscellaneous·2021·Easy

What is the angle between the two lines having direction ratios (6, 3, 6) and (3, 3, 0)?

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Q.4256·Miscellaneous·2021·Easy

What is the projection of the line segment joining A(7, –5) and B(–3, 4, –2) on y-axis?

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Q.4257·Miscellaneous·2021·Easy

What is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, –2 + k, 1) also passes through the point (15, 2, –4)?

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Q.4258·Miscellaneous·2021·Easy

The foot of the perpendicular drawn from the origin to the plane x + y + z = 3 is

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Q.4259·Miscellaneous·2021·Easy

A vector r = ai + bj is equally inclined to both x and y axes. If the magnitude of the vector is 2 units, then what are the values of a and b respectively?

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Q.4260·Miscellaneous·2021·Easy

If a and b are two vectors such that | a + b | = | a – b | = 4, then which one of the following is correct?

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Q.4261·Miscellaneous·2021·Easy

Which of the following statements are not correct : 1.The cross product of two unit vectors is always a unit vector. 2.The dot product of two unit vectors is always unity. 3.The magnitude of sum of two unit vectors is always greater than the magnitude of their difference.

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Q.4262·Miscellaneous·2021·Easy

In this question each item consists of a sentence with an underlined word followed by four words. Select the option that is nearest in meaning to the underlined word and mark your response in your Answer Sheet accordingly. She undertook a reconnaissance of the entire issue.

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Q.4263·Miscellaneous·2021·Easy

Which one from among the following planets is largest in size?

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Q.4264·Miscellaneous·2021·Easy

Match List I with List II and select the correct answer using the code given below the lists: List I (Place) List II (Feature) A. Mumbai 1. Queen of the Arabian Sea B. Visakhapatnam 2. Biggest port of India C. Chennai 3. Land-locked harbour D. Kochi 4. Oldest port on the Eastern Coast Code:

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Q.4265·Miscellaneous·2021·Easy

Which one of the following is a crater lake in India?

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Q.4266·Miscellaneous·2021·Easy

Fine-grained bed of ephemeral lake in a desert is also known as

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